Finding the Third Proportional to 211,977 and 297,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   211,977 : 297,085.50 = 297,085.50 : x
2. Step 2: Convert to fraction form
   211,977/297,085.50 = 297,085.50/x
3. Step 3: Cross multiply
   211,977x = 297,085.50 × 297,085.50
4. Step 4: Simplify right side
   211,977x = 88,259,794,310.25
5. Step 5: Solve for x
   x = 88,259,794,310.25/211,977
6. Step 6: Final answer
   x = 416,364.96